Question

The following represents a project with known activity times. All times are in weeks.

Activity	Immediate Predecessor	Time
A	-	1
B	A	3
C	B	2
D	-	4
E	D	3
F	C, E	6
G	E	2
H	F	3
I	G	3
J	I	5
K	H	4
L	J	4

1. Create a CPM Network. (15 pts)
2. What is the project’s expected completion date? (5 pts)
3. What activities are on the critical path? (10 pts)
4. Compute the slack time for all non-critical activities. (15 pts)
5. What is the latest possible start time for activity C? (5 pts)

Answer 1

DEGIJL is the critical path with duration of 21 weeks as given in the diagram given below.

The expected completion date is after 21 weeks from now. The activities on critical path are D,E,G.I,J and L.

Activity	ES	LS	EF	LF	Slack
A	0	1	2	3	2
B	1	3	3	5	2
C	4	6	6	8	2
D	0	4	0	4	0
E	4	7	4	7	0
F	7	13	8	14	1
G	7	9	7	9	0
H	13	16	14	17	1
I	9	12	9	12	0
J	12	17	12	17	0
K	16	20	17	21	1
L	17	21	17	21	0

It can be seen that the slack for C is 2 weeks so it can be started latest on week 6.